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Finding the Fourth Proportional to 586,321.80, 876,858.30 and 491,843.40

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Solution

The fourth proportional to 586,321.80, 876,858.30 and 491,843.40 is: 735,563.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,321.80 : 876,858.30 = 491,843.40 : x
  2. Step 2: Convert to fraction form
    586,321.80/876,858.30 = 491,843.40/x
  3. Step 3: Cross multiply
    586,321.80x = 876,858.30 × 491,843.40
  4. Step 4: Simplify right side
    586,321.80x = 431,276,967,590.22
  5. Step 5: Solve for x
    x = 431,276,967,590.22/586,321.80
  6. Step 6: Final answer
    x = 735,563.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.